Answer:
(1)14.9% (2) 2.96% (3) 97.04%
Step-by-step explanation:
Formula for Poisson distribution: where k is a number of guests coming in at a particular hour period.
(1) We can substitute k = 7 and into the formula:
(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours
(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:
